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1991年高考34题如下:在光滑的水平轨道上有两个半径都是 r 的小球 A 和 B,质量分别为 m 和2m,当两球心间的距离大于 l(l 比2r 大得多)时,两球之间无相互作用力。当两球心间的距离等于或小于 l 时,两球间存在相互作用的恒定斥力 F。设 A 球从远离 B 球处以速度 v_0。沿两球连心线向原来静止的 B 球运动,如图所示。欲使两球不发生接触,v_0必须满足什么条件?
In the 1991 college entrance examination, the 34 questions are as follows: In the smooth horizontal orbit, there are two spheres A and B with radius r, and the masses are m and 2m respectively. When the distance between the two spheres is greater than l (l is much larger than 2r) There is no interaction between the two balls. When the distance between the centers of the two spheres is equal to or less than l, there is an interactive constant repulsive force F between the two spheres. Let A’s ball be at speed v_0 away from ball B. Move along the two hearts to the original stationary B ball as shown in the figure. What conditions must be satisfied for v_0 to make contact with two balls?